What is the Greatest Common Factor of 29148 and 29160?

Greatest common factor (GCF) of 29148 and 29160 is 12.

GCF(29148,29160) = 12

We will now calculate the prime factors of 29148 and 29160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29148 and 29160.

How to find the GCF of 29148 and 29160?

We will first find the prime factorization of 29148 and 29160. After we will calculate the factors of 29148 and 29160 and find the biggest common factor number .

Step-1: Prime Factorization of 29148

Prime factors of 29148 are 2, 3, 7, 347. Prime factorization of 29148 in exponential form is:

29148 = 2² × 3¹ × 7¹ × 347¹

Step-2: Prime Factorization of 29160

Prime factors of 29160 are 2, 3, 5. Prime factorization of 29160 in exponential form is:

29160 = 2³ × 3⁶ × 5¹

Step-3: Factors of 29148

List of positive integer factors of 29148 that divides 29148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 347, 694, 1041, 1388, 2082, 2429, 4164, 4858, 7287, 9716, 14574

Step-4: Factors of 29160

List of positive integer factors of 29160 that divides 29148 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 729, 810, 972, 1080, 1215, 1458, 1620, 1944, 2430, 2916, 3240, 3645, 4860, 5832, 7290, 9720, 14580

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29148 and 29160. The biggest common factor number is the GCF number.
So the greatest common factor 29148 and 29160 is 12.

Also check out the Least Common Multiple of 29148 and 29160